Q5 · Error correction & fault tolerance
A 27-module path through q5 · error correction & fault tolerance, in study order from foundations to the frontier.
Modules
- Quantum Error Model and Decoherence Channels
- Discretization of Errors
- Three-Qubit Bit-Flip Code
- Three-Qubit Phase-Flip Code
- Shor Nine-Qubit Code
- Knill–Laflamme Conditions
- Quantum Hamming and Singleton Bounds
- Stabilizer Formalism
- Pauli Group and Clifford Group
- Syndrome Measurement and Decoding
- Code Distance and Logical Operators
- CSS Codes
- Steane Seven-Qubit Code
- Five-Qubit Perfect Code
- Toric Code
- Surface Code
- Color Codes
- Code Concatenation
- Fault-Tolerant Gate Constructions
- Transversal Gates and Eastin–Knill Theorem
- Fault-Tolerant Syndrome Extraction
- Quantum Threshold Theorem
- Magic State Distillation
- Lattice Surgery
- Logical Qubit and Resource Overhead
- Quantum LDPC Codes
- Fault-Tolerant Universal Computation Schemes